What is the Least Common Multiple of 40800 and 40814?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 40800 and 40814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40800 and 40814, than apply into the LCM equation.

GCF(40800,40814) = 2
LCM(40800,40814) = ( 40800 × 40814) / 2
LCM(40800,40814) = 1665211200 / 2
LCM(40800,40814) = 832605600

Least Common Multiple (LCM) of 40800 and 40814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40800 and 40814. First we will calculate the prime factors of 40800 and 40814.

Prime Factorization of 40800

Prime Factorization of 40814

Now multiplying the highest exponent prime factors to calculate the LCM of 40800 and 40814.

LCM(40800,40814) = 2⁵ × 3¹ × 5² × 17¹ × 20407¹
LCM(40800,40814) = 832605600